Geodesic
Three synthetical plots of analysis and geometry
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 679-687

Voir la notice de l'article provenant de la source Math-Net.Ru

This is a short overview of the synthetical problems of analysis and geometry which are connected with multiple objective problems of convex geometry, the theory of linear inequalities, and Boolean valued analysis. Some attention is paid to the related historical-philosophical aspects of the problems that were inspired by A. D. Alexandrov, L. V. Kantorovich, and S. L. Sobolev.
Keywords: multiple objective isoperimetric-type problem, Urysohn problem, Leidenfrost effect, Farkas lemma, polyhedral Lagrange principle. 
@article{SEMR_2015_12_a79,
     author = {S. S. Kutateladze},
     title = {Three synthetical plots of analysis and geometry},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {679--687},
     publisher = {mathdoc},
     volume = {12},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2015_12_a79/}
}
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S. S. Kutateladze. Three synthetical plots of analysis and geometry. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 679-687. http://geodesic.mathdoc.fr/item/SEMR_2015_12_a79/